roll vs wave

roll and wave both are nouns.

Word	Noun	Adjective	Verb	Adverb
roll	Yes	No	Yes	No
wave	Yes	No	Yes	No

As nouns, wave is a hypernym of roll; that is, wave is a word with a broader meaning than roll:

roll: a long heavy sea wave as it advances towards the shore
wave: one of a series of ridges that moves across the surface of a liquid (especially across a large body of water)

Other hypernyms of roll include moving ridge.

As verbs, roll and wave are synonyms defined as:

roll and wave: move in a wavy pattern or with a rising and falling motion

Other synonyms of roll include flap, undulate.

roll (noun)	wave (noun)
a flight maneuver; aircraft rotates about its longitudinal axis without changing direction or losing altitude	a movement like that of a sudden occurrence or increase in a specified phenomenon
the act of rolling something (as the ball in bowling)	a hairdo that creates undulations in the hair
the act of throwing dice	the act of signaling by a movement of the hand
walking with a swaying gait	(physics) a movement up and down or back and forth
anything rolled up in cylindrical form	one of a series of ridges that moves across the surface of a liquid (especially across a large body of water)
photographic film rolled up inside a container to protect it from light	something that rises rapidly
a list of names	a persistent and widespread unusual weather condition (especially of unusual temperatures)
a document that can be rolled up (as for storage)	an undulating curve
a deep prolonged sound (as of thunder or large bells)
a long heavy sea wave as it advances towards the shore
rotary motion of an object around its own axis
the sound of a drum (especially a snare drum) beaten rapidly and continuously
small rounded bread either plain or sweet
a roll of currency notes (often taken as the resources of a person or business etc.)
a round shape formed by a series of concentric circles (as formed by leaves or flower petals)

roll (verb)	wave (verb)
execute a roll, in tumbling	set waves in
take the shape of a roll or cylinder	signal with the hands or nod
show certain properties when being rolled	move or swing back and forth
boil vigorously	twist or roll into coils or ringlets
shape by rolling	move in a wavy pattern or with a rising and falling motion
pronounce with a roll, of the phoneme /r/
arrange or coil around
begin operating or running
flatten or spread with a roller
move by turning over or rotating
move along on or as if on wheels or a wheeled vehicle
move about aimlessly or without any destination, often in search of food or employment
move in a wavy pattern or with a rising and falling motion
cause to move by turning over or in a circular manner of as if on an axis
move, rock, or sway from side to side
emit, produce, or utter with a deep prolonged reverberating sound
sell something to or obtain something from by energetic and especially underhanded activity
occur in soft rounded shapes